Perturbative Approach to the Quasinormal Modes of Dirty Black Holes

TL;DR

This paper introduces a perturbative method to analyze how small static disturbances in black hole spacetimes affect their quasinormal mode frequencies, revealing new spectral features.

Contribution

It develops a perturbation theory for quasinormal modes and applies it to model the spectral shifts caused by quasi-static perturbations in black holes.

Findings

Perturbed QNM frequencies show measurable shifts in real and imaginary parts.

The model reveals interesting features in the QNM spectrum due to perturbations.

Method provides a new way to analyze black hole stability and response.

Abstract

Using a recently developed perturbation theory for uasinormal modes (QNM's), we evaluate the shifts in the real and imaginary parts of the QNM frequencies due to a quasi-static perturbation of the black hole spacetime. We show the perturbed QNM spectrum of a black hole can have interesting features using a simple model based on the scalar wave equation.